High power microwave is applied to a dielectric material. Now, the microwave heating will cause rise in temperature of the dielectric. How can we relate the applied power/field to the temperature?
You need to know the dielectric constant and loss tangent of the dielectric at the microwave frequency. If the loss tangent is smaller than about 0.1 then the loss per radian, in nepers, is equal to half the loss tangent. You get the radian length from the wavelength and the square root of the dielectric constant. From this you can get loss per metre, as a function of distance into the material (the power in the wave falls was you get further in). Use the specific heat capacity to get the temperature rise as a function of distance into the material, if heat conduction is not significant.
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